Acronym ginnont
Name great penteractipenteractitriacontiditeron
Field of sections
 ©
Circumradius sqrt[7-2 sqrt(2)]/2 = 1.021221
Vertex figure
 ©
Coordinates ((sqrt(2)-1)/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – other uniform polyteral members:
by cells: gittith pen tepe tes tisdip
ginnont 10320100
gabdacan 100804080
quacant 032805080
  & others)
External
links
hedrondude

As abstract polytope ginnont is isomorphic to sinnont, thereby replacing octagrams by octagons, resp. gocco by socco and gittith by steth.


Incidence matrix according to Dynkin symbol

o3o3o3x4/3x4*c

. . . .   .    | 160 |   4   4 |   6   6  4 |   4  4  6 |  1  1  4
---------------+-----+---------+------------+-----------+---------
. . . x   .    |   2 | 320   * |   3   0  1 |   3  0  3 |  1  0  3
. . . .   x    |   2 |   * 320 |   0   3  1 |   0  3  3 |  0  1  3
---------------+-----+---------+------------+-----------+---------
. . o3x   .    |   3 |   3   0 | 320   *  * |   2  0  1 |  1  0  2
. . o .   x4*c |   4 |   0   4 |   * 240  * |   0  2  1 |  0  1  2
. . . x4/3x    |   8 |   4   4 |   *   * 80 |   0  0  3 |  0  0  3
---------------+-----+---------+------------+-----------+---------
. o3o3x   .       4 |   6   0 |   4   0  0 | 160  *  * |  1  0  1
. o3o .   x4*c    8 |   0  12 |   0   6  0 |   * 80  * |  0  1  1
. . o3x4/3x4*c   24 |  24  24 |   8   6  6 |   *  * 40 |  0  0  2
---------------+-----+---------+------------+-----------+---------
o3o3o3x   .       5 |  10   0 |  10   0  0 |   5  0  0 | 32  *  *
o3o3o .   x4*c   16 |   0  32 |   0  24  0 |   0  8  0 |  * 10  *
. o3o3x4/3x4*c   64 |  96  96 |  64  48 24 |  16  8  8 |  *  * 10

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